Devaney's chaos on recurrence plots.
Devaney's chaos on recurrence plots.
复制标题
德瓦尼对重复情节的混乱。
DOI：
10.1103/physreve.82.036209
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
K. Aihara
中科院分区：
文献类型：
--
作者：
Yoshito Hirata;K. Aihara
虽然Devaney意义下的确定性混沌的定义经常被用于研究动力系统，但很少被用于从时间序列中识别确定性混沌。在这篇文章中，我们发展了一套方法来推断给定时间序列是否符合Devaney意义下的确定性混沌。我们定义了Devaney混沌的三个性质的较弱概念，这些性质可以用有限长度的给定时间序列来检验。我们将这些方法应用于人工数据和真实数据。
Although the definition of deterministic chaos in the sense of Devaney is often employed for investigating dynamical systems, it has been rarely used for identifying deterministic chaos from time series. In this paper, we develop a set of methods that infers whether a given time series is consistent with deterministic chaos in the sense of Devaney or not. We define weaker notions of the three properties of Devaney's chaos which can be checked using a given time series of a finite length. We apply these methods for artificial and real data.